Finding the Fourth Proportional to 10,463.62, 14,439.80 and 5,748.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,463.62 : 14,439.80 = 5,748.20 : x
2. Step 2: Convert to fraction form
   10,463.62/14,439.80 = 5,748.20/x
3. Step 3: Cross multiply
   10,463.62x = 14,439.80 × 5,748.20
4. Step 4: Simplify right side
   10,463.62x = 83,002,858.36
5. Step 5: Solve for x
   x = 83,002,858.36/10,463.62
6. Step 6: Final answer
   x = 7,932.52